Explanation:
It is known that species with higher value of reduction potential will act as a good oxidizing agent.
(a) Here we are given [tex]Br_{2}[/tex] and [tex]Au^{3+}[/tex]. Reduction potential of [tex]Br_{2}[/tex] is 1.07 V and reduction potential of [tex]Au^{3+}[/tex] is 1.50 V.
As [tex]Au^{3+}[/tex] has higher value of reduction potential. Hence, [tex]Au^{3+}[/tex] acts as a better oxidizing agent than [tex]Br_{2}[/tex].
(b) Here we are given [tex]H_{2}[/tex] and [tex]Ag^{+}[/tex]. Reduction potential of [tex]H_{2}[/tex] is 0.00 V and reduction potential of [tex]Ag^{+}[/tex] is 0.80 V.
As [tex]Ag^{+}[/tex] has higher value of reduction potential. Hence, [tex]Ag^{+}[/tex] acts as a better oxidizing agent than [tex]H_{2}[/tex].
(c) Here we are given [tex]Cd^{2+}[/tex] and [tex]Cr^{3+}[/tex]. Reduction potential of [tex]Cd^{2+}[/tex] is -0.40 V and reduction potential of [tex]Cr^{3+}[/tex] is -0.74 V.
As [tex]Cd^{2+}[/tex] has higher value of reduction potential than [tex]Cr^{3+}[/tex]. Hence, [tex]Cd^{2+}[/tex] acts as a better oxidizing agent.
(d) The given species are [tex]O_{2}[/tex] in acidic medium and [tex]O_{2}[/tex] in basic medium. Reduction potential of [tex]O_{2}[/tex] in acidic medium is 1.23 V and reduction potential of [tex]O_{2}[/tex] in basic medium is 0.40 V.
Thus, we can conclude that [tex]O_{2}[/tex] in acidic medium is better oxidizing agent that [tex]O_{2}[/tex] in basic medium.